Mathematics – Logic
Scientific paper
Dec 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006cqgra..23.7257c&link_type=abstract
Classical and Quantum Gravity, Volume 23, Issue 24, pp. 7257-7271 (2006).
Mathematics
Logic
Scientific paper
We investigate static configurations of a vacuumless scalar field as 'hair' on a black hole. The vacuumless field has run-away behaviour, meaning the scalar potential vanishes only at infinite field strength, and is also responsible for a cosmic acceleration horizon. The classic no-hair theorems do not prevent the existence of static configurations, in the form of a spherical domain wall, trapped between the two horizons. We study the properties of such configurations and show that, although the configurations are ultimately unstable, long-lived solutions are possible. We make a perturbation study to estimate the instability time scale, which can be as large as 6 × 107 times the black hole crossing time. We identify classes of observers who can never observe the scalar field become unstable, because they pass beyond the cosmological event horizon in a time interval shorter than the instability time scale.
Caldwell Robert R.
Yu Peng Peng
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